His earliest work was the editing in 1794 of an astronomical almanac for the Prussian government.
In 1821, he became professor at the University of Berlin, and in 1829 became a foreign member of the Institute of France.
In 1825–1826 he published his great work, Handbuch der mathematischen und technischen Chronologie ("Handbook of mathematical and technical chronology," 2 vols.
[1] He wrote also Historische Untersuchungen über die astronomischen Beobachtungen der Alten ("Historical investigations on the astronomical observations of the ancients," Leipzig, 1806), Untersuchungen über den Ursprung und die Bedeutung der Sternnamen ("Investigations on the origin and significance of the names of stars")[2] and Über den Ursprung des Thierkreises ("Origins of the zodiac," 1838).
[3] His son, Julius Ludwig Ideler (1809–1842), wrote Meteorologia veterum Graecorum et Romanorum[1] — Prolegomena ad novam Meteorologicorum Aristotelis — Editionem adornandam.